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Bosonization dualities relate two different Chern-Simons-matter theories,with bosonic matter on one side replaced by fermionic matter on the other. Wefirst describe a more general class of non-Abelian bosonization dualities. Wethen explore the non-relativistic physics of these theories in the quantum Hallregime. The bosonic theory lies in a condensed phase and admits vortices whichare known to form a non-Abelian quantum Hall state. We ask how this samephysics arises in the fermionic theory. We find that a condensed bosoncorresponds to a fully filled Landau level of fermions, while bosonic vorticesmap to fermionic holes. We confirm that the ground state of the two theories isindeed described by the same quantum Hall wavefunction.

Non-Abelian 3d Bosonization and Quantum Hall States